In order to find the additive inverse, you must know what additive inverse means. The additive inverse is a number or expression. The sum of the additive inverse and the original number always yields zero. Knowing this, we can make the equation below.
\(-(x^2+4x)+8+a=0\) | a is the variable that represents the additive inverse. Now, solve for a. You can add the quantity of the sum of the the square of x and 4. |
\(8+a=x^2+4x\) | Subtract 8 from both sides. |
\(a=x^2+4x-8\) | Now that I have solved for a, I have found the additive inverse. |